A Data-Oriented, Active Learning, Post-Calculus Introduction to Statistical Concepts, Methods and Theory

这个项目正在为两门课程的课程序列开发教材，向后微积分水平的学生介绍统计学的概念、方法和理论。与概率统计和数理统计的标准顺序相比，这些课程提供了更平衡的统计学科介绍。这些教材包含了成功的统计教育项目的特点，包括发展学生的概念理解、通过动手活动探索学生、分析真实数据，以及整合计算机工具以促进学生的学习和有效地分析数据。这一项目针对的学生受众尤其重要，因为以前的课程改革项目忽视了这一点，这些课程改革项目侧重于为非数学专业的学生开设入门课程。拟议的两门课程序列为数学和科学专业的学生介绍了内容和教育学，这为他们在统计或教学领域的职业生涯做好了准备。由于大量数学专业的学生成为中学教师，这些学生必须学习数据分析的基本原理，才能根据NCTM标准进行教学。这门课程特别适合，因为它以一种他们应该教的以发现为导向的方式教学。除了开发、测试和修改这些材料，该项目还包括一个重要的传播和评估计划。主要成果是两本内容齐全的教科书/练习册，将调查活动与更传统的论述结合在一起。其他预期结果包括一套旨在帮助学生概念可视化的Java小程序，以及广泛的支持材料，如教师指南和样本考试。最终的预期结果是为期一周的教师发展研讨会。

This project is developing curricular materials for a two-course sequence that introduces students at the post-calculus level to statistical concepts, methods, and theory. These courses are providing a more balanced introduction to the discipline of statistics than the standard sequence in probability and mathematical statistics. The materials incorporate features of successful statistics education projects, including development of students' conceptual understandings, student explorations through hands-on activities, analysis of genuine data, and integration of computer tools both to enhance students' learning and to analyze data efficiently.The student audience targeted by this project is particularly important because it has been overlooked by previous curricular reform projects focused on the introductory course for students with majors outside of mathematics. The proposed two-course sequence introduces mathematics and science majors to content and pedagogy, which prepare them well for careers in statistics or teaching. Because large numbers of mathematics majors become teachers at the secondary school level, these students must learn fundamental principles of data analysis to be able to teach according to NCTM standards. This course is particularly appropriate as it teaches students in a discovery-oriented manner in which they should teach.In addition to developing, testing and revising these materials, the project includes a significant program of dissemination and evaluation. The primary outcomes are two fully self-contained textbook/ workbooks, which integrate investigative activities with more traditional exposition. Other expected outcomes include a suite of Java applets designed to aid students' conceptual visualization and extensive support materials such as instructor's guides and sample examinations. A final anticipated outcome is a week-long faculty development workshop.